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Oscillation theorems for a second order delay differential equation. (English) Zbl 0383.34056


MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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References:

[1] Atkinson, F. V., On second order differential inequalities, (Proc. Roy. Soc. Edinburgh Sect. A, 72 (1972/1973)), 109-127 · Zbl 0332.34011
[2] El’sgol’ts, L. E., Introduction to the Theory of Differential Equations with Deviating Arguments (1966), Holden-Day: Holden-Day San Francisco · Zbl 0133.33502
[3] Kusano, T.; Onose, H., Oscillations of functional differential equations with retarded argument, J. Differential Equations, 15, 269-277 (1974) · Zbl 0292.34078
[4] Lovelady, D. L., Oscillation and a class of linear delay differential equations, Trans. Amer. Math. Soc., 226, 345-364 (1977) · Zbl 0355.34059
[5] Opial, Z., Sur une critère d’oscillation de l’equation différentielle \((Q(t)x′)′ + ƒ(t x = 0\), Ann. Polon. Math., 6, 99-104 (1959) · Zbl 0085.30403
[6] Waltman, P., A note on an oscillation criterion for an equation with a functional argument, Canad. Math. Bull., 11, 593-595 (1968) · Zbl 0186.42205
[7] Wong, J. S.W., Second order oscillation with retarted arguments, (Ordinary Differential Equations (1972), Academic Press: Academic Press New York/London), 581-596
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